{"title":"四维爱因斯坦-高斯-邦尼引力中可穿越虫洞及其阴影：一个解析描述","authors":"Madhukrishna Chakraborty , Subenoy Chakraborty","doi":"10.1016/j.dark.2024.101793","DOIUrl":null,"url":null,"abstract":"<div><div>Einstein–Gauss–Bonnet gravity (EGB) in 4D started its journey in 2020, after a regularization on <span><math><mrow><mi>D</mi><mo>→</mo><mn>4</mn></mrow></math></span> limit of EGB gravity considering a rescaled GB coupling constant as <span><math><mfrac><mrow><mi>α</mi></mrow><mrow><mrow><mo>(</mo><mi>D</mi><mo>−</mo><mn>4</mn><mo>)</mo></mrow></mrow></mfrac></math></span> and taking the limit <span><math><mrow><mi>D</mi><mo>→</mo><mn>4</mn></mrow></math></span> by Glavan and Lin. As a result, the regularized 4D gravity theory have non trivial gravitational dynamics. The present work is an attempt to obtain solutions of 4D EGB theory in the background of static spherically symmetric space–time and it has been examined whether they correspond to any possible traversable Wormhole (WH). For matter field, isotropic/ anisotropic fluid and various possible equation of state are considered. Embedding diagrams are analyzed and energy conditions are examined for the WH solutions. Finally, feasible WH shadows have been determined in EGB theory.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"47 ","pages":"Article 101793"},"PeriodicalIF":6.4000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Traversable Wormholes and their shadows in 4D Einstein–Gauss–Bonnet Gravity: An analytic description\",\"authors\":\"Madhukrishna Chakraborty , Subenoy Chakraborty\",\"doi\":\"10.1016/j.dark.2024.101793\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Einstein–Gauss–Bonnet gravity (EGB) in 4D started its journey in 2020, after a regularization on <span><math><mrow><mi>D</mi><mo>→</mo><mn>4</mn></mrow></math></span> limit of EGB gravity considering a rescaled GB coupling constant as <span><math><mfrac><mrow><mi>α</mi></mrow><mrow><mrow><mo>(</mo><mi>D</mi><mo>−</mo><mn>4</mn><mo>)</mo></mrow></mrow></mfrac></math></span> and taking the limit <span><math><mrow><mi>D</mi><mo>→</mo><mn>4</mn></mrow></math></span> by Glavan and Lin. As a result, the regularized 4D gravity theory have non trivial gravitational dynamics. The present work is an attempt to obtain solutions of 4D EGB theory in the background of static spherically symmetric space–time and it has been examined whether they correspond to any possible traversable Wormhole (WH). For matter field, isotropic/ anisotropic fluid and various possible equation of state are considered. Embedding diagrams are analyzed and energy conditions are examined for the WH solutions. Finally, feasible WH shadows have been determined in EGB theory.</div></div>\",\"PeriodicalId\":48774,\"journal\":{\"name\":\"Physics of the Dark Universe\",\"volume\":\"47 \",\"pages\":\"Article 101793\"},\"PeriodicalIF\":6.4000,\"publicationDate\":\"2025-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics of the Dark Universe\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2212686424003765\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2025/1/1 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q1\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of the Dark Universe","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2212686424003765","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/1/1 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
摘要
在考虑重标的GB耦合常数为α(D−4)并取极限D→4后，Glavan和Lin对EGB引力的D→4极限进行了正则化，并于2020年开始了4D中的einstein - gas - bonnet引力（EGB）的旅程。因此，正则四维引力理论具有非平凡的引力动力学。本文试图在静态球对称时空背景下获得四维EGB理论的解，并检验了它们是否对应于任何可能的可穿越虫洞。对于物质场，考虑了各向同性/各向异性流体和各种可能的状态方程。对嵌入图进行了分析，并对WH解的能量条件进行了检验。最后，在EGB理论中确定了可行的WH阴影。
Traversable Wormholes and their shadows in 4D Einstein–Gauss–Bonnet Gravity: An analytic description
Einstein–Gauss–Bonnet gravity (EGB) in 4D started its journey in 2020, after a regularization on limit of EGB gravity considering a rescaled GB coupling constant as and taking the limit by Glavan and Lin. As a result, the regularized 4D gravity theory have non trivial gravitational dynamics. The present work is an attempt to obtain solutions of 4D EGB theory in the background of static spherically symmetric space–time and it has been examined whether they correspond to any possible traversable Wormhole (WH). For matter field, isotropic/ anisotropic fluid and various possible equation of state are considered. Embedding diagrams are analyzed and energy conditions are examined for the WH solutions. Finally, feasible WH shadows have been determined in EGB theory.
期刊介绍：
Physics of the Dark Universe is an innovative online-only journal that offers rapid publication of peer-reviewed, original research articles considered of high scientific impact.
The journal is focused on the understanding of Dark Matter, Dark Energy, Early Universe, gravitational waves and neutrinos, covering all theoretical, experimental and phenomenological aspects.
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